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lim f(x)=-5, lim g(x)=3, and lim h(x)=0, find the following limits if they exist. If 3. Given x→a x → a Xx→a the limit does not exist, explain why. A) lim f(x) + 2g(x) x→a B) O lim f(x)g(x) x→a lim g(x) x→a h(x)

lim f(x)=-5, lim g(x)=3, and lim h(x)=0, find the following limits if they exist. If 3. Given x→a x → a Xx→a the limit does not exist, explain why. A) lim f(x) + 2g(x) x→a B) O lim f(x)g(x) x→a lim g(x) x→a h(x)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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lim f(x)=-5, lim g(x)=3, and lim_h(x)=0, find the following limits if they exist. If x → a x → a the limit does not exist, explain why. 3. Given A) B) C) lim f(x) + 2g(x) x→a lim f(x)g(x) x → a lim g(x) x→a h(x) 5. Given f(x)=√x+1 if xs-1 x² if x > -1 A) Sketch the graph. B) Is f(x) continuous? If not, find where it is discontinuous and explain why it is discontinuous at that value. 6. Sketch a graph of an example of a function f that satisfies all of these conditions: f(0) = -1,f(3) = 2, lim x→3 f(x) = -1, x → a lim _0<x f(x) = 1, lim x→0+ f(x) = 3
Transcribed Image Text:lim f(x)=-5, lim g(x)=3, and lim_h(x)=0, find the following limits if they exist. If x → a x → a the limit does not exist, explain why. 3. Given A) B) C) lim f(x) + 2g(x) x→a lim f(x)g(x) x → a lim g(x) x→a h(x) 5. Given f(x)=√x+1 if xs-1 x² if x > -1 A) Sketch the graph. B) Is f(x) continuous? If not, find where it is discontinuous and explain why it is discontinuous at that value. 6. Sketch a graph of an example of a function f that satisfies all of these conditions: f(0) = -1,f(3) = 2, lim x→3 f(x) = -1, x → a lim _0<x f(x) = 1, lim x→0+ f(x) = 3
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